As shown in figure "A" of the illustration,...

Question 1 / 2066636eed28f7522a1c51dae4

Question 1 of 2066636eed28f7522a1c51dae4

As shown in figure "A" of the illustration, what would be the circuit impedance if the capacitive reactance is 10 ohms and the resistance is 10 ohms? Illustration EL-0109

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Question 1 of 20

66636eed28f7522a1c51dae4

As shown in figure "A" of the illustration, what would be the circuit impedance if the capacitive reactance is 10 ohms and the resistance is 10 ohms? Illustration EL-0109

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🔍 Key Concepts

• Series R-C AC circuit as shown in figure A (resistance and capacitor in series) • Impedance of a series circuit with resistance (R) and capacitive reactance (Xc) • Using the Pythagorean theorem when resistance and reactance are at right angles on an impedance triangle

💭 Think About

• Sketch the impedance triangle for this series R-C circuit: which side is R and which side is Xc, and how are they oriented to each other? • If R = 10 Ω and Xc = 10 Ω, what is the length of the hypotenuse of a right triangle whose legs are both 10? • After you find the magnitude of Z, how do you decide whether to call it capacitive or inductive?

✅ Before You Answer

• Confirm from figure A that the resistor and capacitor are in series, not parallel • Remember that in AC, R and Xc are at 90° to each other, so you do not just add 10 Ω + 10 Ω directly • After finding |Z|, check that the circuit has only capacitance (no inductance), so the impedance should be labeled capacitive

Question 1 of 20

As shown in figure "A" of the illustration, what would be the circuit impedance if the capacitive reactance is 10 ohms and the resistance is 10 ohms? Illustration EL-0109

4.47 ohms capacitive

6.32 ohms capacitive

14.14 ohms capacitive

20 ohms capacitive

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